86914537632 has 288 divisors, whose sum is σ = 270450835200. Its totient is φ = 26316158976.

The previous prime is 86914537627. The next prime is 86914537639. The reversal of 86914537632 is 23673541968.

86914537632 is a `hidden beast` number, since 8 + 6 + 91 + 453 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (86914537639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120882169 + ... + 120882887.

It is an arithmetic number, because the mean of its divisors is an integer number (939065400).

Almost surely, 2^86914537632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86914537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225417600).

86914537632 is an abundant number, since it is smaller than the sum of its proper divisors (183536297568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86914537632 is a wasteful number, since it uses less digits than its factorization.

86914537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 86914537632 in words is "eighty-six billion, nine hundred fourteen million, five hundred thirty-seven thousand, six hundred thirty-two".